Example 20
For the given statements identify the necessary and sufficient conditions.
t: If you drive over 80 km per hour, then you will get a fine.
Let p and q denote the statements:
p : You drive over 80 km per hour.
q : You will get a fine.
If p then q means p is sufficient far q.
That driving over 80 km per hour is sufficient to get a fine.
Hence sufficient condition is “driving over 80 km per hour”
If p then q means q is necessary for p
When you drive over 80 km per hour , you will necessary get a fine
Here the necessary condition is “getting a fine”